B.R.S. algebras. Analysis of the consistency equations in gauge theory

DOI10.1007/BF01208822zbMath0604.58055OpenAlexW2090236588MaRDI QIDQ1083102

Michel Dubois-Violette, Claude Viallet, Michel Talon

Publication date: 1985

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01208822

zbMATH Keywords

\(\delta \)-cohomology modulo d anomalous term B.R.S. algebra

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Quantum field theory; related classical field theories (81T99) Applications of PDEs on manifolds (58J90)

Related Items (48)

B.R.S. algebras. Analysis of the consistency equations in gauge theory ⋮ Lie algebra cohomology and group structure of gauge theories ⋮ A differential geometric setting for BRS transformations and anomalies. I ⋮ The Weil-B.R.S. algebra of a Lie algebra and the anomalous terms in gauge theory ⋮ A classification of global conformal invariants ⋮ Local anomalies and local equivariant cohomology ⋮ Higher spin conformal geometry in three dimensions and prepotentials for higher spin gauge fields ⋮ Algèbres différentielles en théorie des champs. (Differential algebras in field theory) ⋮ The cohomological construction of Stora's solutions ⋮ The evaluation map in field theory, sigma-models and strings. I ⋮ Local BRST cohomology in Einstein-Yang-Mills theory ⋮ Characteristic cohomology of \(p\)-form gauge theories ⋮ A note on Weyl invariance in gravity and the Wess-Zumino functional ⋮ <scp>A</scp> note on local BRST cohomology of Yang-Mills type theories with free Abelian factors ⋮ BRS cohomology of the supertranslations in \(D=4\) ⋮ Results on the Wess–Zumino consistency condition for arbitrary Lie algebras ⋮ Axial anomaly in multi-Weyl and triple-point semimetals ⋮ Anomalies in finite amplitudes: Two-dimensional single and triple axial-vector triangles ⋮ Gauge PDE and AKSZ‐type Sigma Models ⋮ A Poincaré Lemma for sigma models of AKSZ type ⋮ Nonpolynomial Yang–Mills local cohomology ⋮ Renormalization of the asymptotically expanded Yang-Mills spectral action ⋮ The coupling of Chern-Simons theory to topological gravity ⋮ The Weil algebra of a Hopf algebra. I: A noncommutative framework ⋮ Parent formulation at the Lagrangian level ⋮ Renormalizability conditions for almost-commutative manifolds ⋮ Renormalization of the spectral action for the Yang-Mills system ⋮ Calculation of BRS cohomology with spectral sequences ⋮ BRST-ANTIFIELD QUANTIZATION: A SHORT REVIEW ⋮ Presymplectic AKSZ formulation of Einstein gravity ⋮ Deformations of vector-scalar models ⋮ Semi-invariant terms for gauged nonlinear \(\sigma\)-models ⋮ Field-diffeomorphism anomalies in the nonlinear σ model ⋮ Chern–Simons forms on principal superfiber bundles ⋮ Symmetries in quantum field theory and quantum gravity ⋮ RENORMALIZED QUANTUM YANG–MILLS FIELDS IN CURVED SPACETIME ⋮ Parent formulations, frame-like Lagrangians, and generalized auxiliary fields ⋮ Zero curvature formalism of the four-dimensional Yang–Mills theory in superspace ⋮ Unnamed Item ⋮ Becchi–Rouet–Stora cohomology of zero curvature systems. I. The complete ladder case ⋮ Becchi–Rouet–Stora cohomology of zero curvature systems. II. The noncomplete ladder case ⋮ The Wess-Zumino consistency condition for \(p\)-form gauge theories ⋮ Local BRST cohomology in gauge theories ⋮ Renormalization of gauge invariant operators and anomalies in Yang-Mills theory ⋮ Supersymmetry algebra cohomology. I. Definition and general structure ⋮ Algebraic characterization of the Wess-Zumino consistency conditions in gauge theories ⋮ On the geometrical structure of covariant anomalies in Yang–Mills theory ⋮ Algebras based on Yang-Baxter operators

Cites Work

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